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Finding the Third Proportional to 30,923 and 66,218

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Solution

The third proportional to 30,923 and 66,218 is: 141,798.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,923 : 66,218 = 66,218 : x
  2. Step 2: Convert to fraction form
    30,923/66,218 = 66,218/x
  3. Step 3: Cross multiply
    30,923x = 66,218 × 66,218
  4. Step 4: Simplify right side
    30,923x = 4,384,823,524
  5. Step 5: Solve for x
    x = 4,384,823,524/30,923
  6. Step 6: Final answer
    x = 141,798.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.